Question

The graph shows a proportional relationship between x and y.Find the constant of proportionality (r) and write an equation to represent the relationship.

Answer 1

Answer:

r=3

$y=3x$

Step-by-step explanation:

We are given that a graph.

The graph shows  a proportional relationship between x and y.

From given graph  we can see that when x increases then y is also increases.

Therefore, $y\propto x$

$y=rx$

Where r=proportionality constant

x=5 and y=15

Substitute the values then we get

$15=r(5)$

$r=\frac{15}{5}=3$

Substitute the value of r

Then, the equation to represent the relationship is given by

$y=3x$

Answer 2

The constant of proportionality (r) appears to be 3.

y = 3x . . . . . . . x = number of tickets sold; y = dollars collected